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Finding the Fourth Proportional to 3,537.76, 4,878.48 and 2,652.16

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Solution

The fourth proportional to 3,537.76, 4,878.48 and 2,652.16 is: 3,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.76 : 4,878.48 = 2,652.16 : x
  2. Step 2: Convert to fraction form
    3,537.76/4,878.48 = 2,652.16/x
  3. Step 3: Cross multiply
    3,537.76x = 4,878.48 × 2,652.16
  4. Step 4: Simplify right side
    3,537.76x = 12,938,509.52
  5. Step 5: Solve for x
    x = 12,938,509.52/3,537.76
  6. Step 6: Final answer
    x = 3,657.26

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Why These Related Problems?

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