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Finding the Fourth Proportional to 3,415.10, 4,702.92 and 2,966.76

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Solution

The fourth proportional to 3,415.10, 4,702.92 and 2,966.76 is: 4,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.10 : 4,702.92 = 2,966.76 : x
  2. Step 2: Convert to fraction form
    3,415.10/4,702.92 = 2,966.76/x
  3. Step 3: Cross multiply
    3,415.10x = 4,702.92 × 2,966.76
  4. Step 4: Simplify right side
    3,415.10x = 13,952,434.94
  5. Step 5: Solve for x
    x = 13,952,434.94/3,415.10
  6. Step 6: Final answer
    x = 4,085.52

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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.