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Finding the Fourth Proportional to 5,707.15, 7,869.82 and 4,445.98

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Solution

The fourth proportional to 5,707.15, 7,869.82 and 4,445.98 is: 6,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.15 : 7,869.82 = 4,445.98 : x
  2. Step 2: Convert to fraction form
    5,707.15/7,869.82 = 4,445.98/x
  3. Step 3: Cross multiply
    5,707.15x = 7,869.82 × 4,445.98
  4. Step 4: Simplify right side
    5,707.15x = 34,989,062.32
  5. Step 5: Solve for x
    x = 34,989,062.32/5,707.15
  6. Step 6: Final answer
    x = 6,130.74

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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.