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Finding the Fourth Proportional to 4,884.64, 7,328.12 and 1,598.00

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Solution

The fourth proportional to 4,884.64, 7,328.12 and 1,598.00 is: 2,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.64 : 7,328.12 = 1,598.00 : x
  2. Step 2: Convert to fraction form
    4,884.64/7,328.12 = 1,598.00/x
  3. Step 3: Cross multiply
    4,884.64x = 7,328.12 × 1,598.00
  4. Step 4: Simplify right side
    4,884.64x = 11,710,291.13
  5. Step 5: Solve for x
    x = 11,710,291.13/4,884.64
  6. Step 6: Final answer
    x = 2,397.37

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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.