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Finding the Fourth Proportional to 5,656.16, 8,490 and 4,014.56

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Solution

The fourth proportional to 5,656.16, 8,490 and 4,014.56 is: 6,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.16 : 8,490 = 4,014.56 : x
  2. Step 2: Convert to fraction form
    5,656.16/8,490 = 4,014.56/x
  3. Step 3: Cross multiply
    5,656.16x = 8,490 × 4,014.56
  4. Step 4: Simplify right side
    5,656.16x = 34,083,614.40
  5. Step 5: Solve for x
    x = 34,083,614.40/5,656.16
  6. Step 6: Final answer
    x = 6,025.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.