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Finding the Fourth Proportional to 4,130.76, 5,702.01 and 3,017.46

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Solution

The fourth proportional to 4,130.76, 5,702.01 and 3,017.46 is: 4,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.76 : 5,702.01 = 3,017.46 : x
  2. Step 2: Convert to fraction form
    4,130.76/5,702.01 = 3,017.46/x
  3. Step 3: Cross multiply
    4,130.76x = 5,702.01 × 3,017.46
  4. Step 4: Simplify right side
    4,130.76x = 17,205,587.09
  5. Step 5: Solve for x
    x = 17,205,587.09/4,130.76
  6. Step 6: Final answer
    x = 4,165.24

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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.