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Finding the Fourth Proportional to 5,384.16, 8,076.24 and 4,762.08

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Solution

The fourth proportional to 5,384.16, 8,076.24 and 4,762.08 is: 7,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.16 : 8,076.24 = 4,762.08 : x
  2. Step 2: Convert to fraction form
    5,384.16/8,076.24 = 4,762.08/x
  3. Step 3: Cross multiply
    5,384.16x = 8,076.24 × 4,762.08
  4. Step 4: Simplify right side
    5,384.16x = 38,459,700.98
  5. Step 5: Solve for x
    x = 38,459,700.98/5,384.16
  6. Step 6: Final answer
    x = 7,143.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.