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Finding the Fourth Proportional to 5,708.76, 7,873.76 and 4,913.40

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Solution

The fourth proportional to 5,708.76, 7,873.76 and 4,913.40 is: 6,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.76 : 7,873.76 = 4,913.40 : x
  2. Step 2: Convert to fraction form
    5,708.76/7,873.76 = 4,913.40/x
  3. Step 3: Cross multiply
    5,708.76x = 7,873.76 × 4,913.40
  4. Step 4: Simplify right side
    5,708.76x = 38,686,932.38
  5. Step 5: Solve for x
    x = 38,686,932.38/5,708.76
  6. Step 6: Final answer
    x = 6,776.77

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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.