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Finding the Fourth Proportional to 3,572.02, 4,927.60 and 2,314.16

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Solution

The fourth proportional to 3,572.02, 4,927.60 and 2,314.16 is: 3,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.02 : 4,927.60 = 2,314.16 : x
  2. Step 2: Convert to fraction form
    3,572.02/4,927.60 = 2,314.16/x
  3. Step 3: Cross multiply
    3,572.02x = 4,927.60 × 2,314.16
  4. Step 4: Simplify right side
    3,572.02x = 11,403,254.82
  5. Step 5: Solve for x
    x = 11,403,254.82/3,572.02
  6. Step 6: Final answer
    x = 3,192.38

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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.