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Finding the Fourth Proportional to 4,026.13, 6,038.02 and 1,560.40

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Solution

The fourth proportional to 4,026.13, 6,038.02 and 1,560.40 is: 2,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026.13 : 6,038.02 = 1,560.40 : x
  2. Step 2: Convert to fraction form
    4,026.13/6,038.02 = 1,560.40/x
  3. Step 3: Cross multiply
    4,026.13x = 6,038.02 × 1,560.40
  4. Step 4: Simplify right side
    4,026.13x = 9,421,726.41
  5. Step 5: Solve for x
    x = 9,421,726.41/4,026.13
  6. Step 6: Final answer
    x = 2,340.14

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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.