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Finding the Fourth Proportional to 5,708.48, 7,870.56 and 4,658.24

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Solution

The fourth proportional to 5,708.48, 7,870.56 and 4,658.24 is: 6,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.48 : 7,870.56 = 4,658.24 : x
  2. Step 2: Convert to fraction form
    5,708.48/7,870.56 = 4,658.24/x
  3. Step 3: Cross multiply
    5,708.48x = 7,870.56 × 4,658.24
  4. Step 4: Simplify right side
    5,708.48x = 36,662,957.41
  5. Step 5: Solve for x
    x = 36,662,957.41/5,708.48
  6. Step 6: Final answer
    x = 6,422.54

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1.5x scale

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.