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Finding the Fourth Proportional to 3,407.18, 4,702 and 1,915.23

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Solution

The fourth proportional to 3,407.18, 4,702 and 1,915.23 is: 2,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.18 : 4,702 = 1,915.23 : x
  2. Step 2: Convert to fraction form
    3,407.18/4,702 = 1,915.23/x
  3. Step 3: Cross multiply
    3,407.18x = 4,702 × 1,915.23
  4. Step 4: Simplify right side
    3,407.18x = 9,005,411.46
  5. Step 5: Solve for x
    x = 9,005,411.46/3,407.18
  6. Step 6: Final answer
    x = 2,643.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.