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Finding the Fourth Proportional to 3,810.16, 5,715.72 and 1,470.10

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Solution

The fourth proportional to 3,810.16, 5,715.72 and 1,470.10 is: 2,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.16 : 5,715.72 = 1,470.10 : x
  2. Step 2: Convert to fraction form
    3,810.16/5,715.72 = 1,470.10/x
  3. Step 3: Cross multiply
    3,810.16x = 5,715.72 × 1,470.10
  4. Step 4: Simplify right side
    3,810.16x = 8,402,679.97
  5. Step 5: Solve for x
    x = 8,402,679.97/3,810.16
  6. Step 6: Final answer
    x = 2,205.34

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