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Finding the Fourth Proportional to 5,803.02, 8,705.13 and 1,642.98

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Solution

The fourth proportional to 5,803.02, 8,705.13 and 1,642.98 is: 2,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.02 : 8,705.13 = 1,642.98 : x
  2. Step 2: Convert to fraction form
    5,803.02/8,705.13 = 1,642.98/x
  3. Step 3: Cross multiply
    5,803.02x = 8,705.13 × 1,642.98
  4. Step 4: Simplify right side
    5,803.02x = 14,302,354.49
  5. Step 5: Solve for x
    x = 14,302,354.49/5,803.02
  6. Step 6: Final answer
    x = 2,464.64

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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.