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Finding the Fourth Proportional to 5,798.48, 8,655.76 and 5,097.86

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Solution

The fourth proportional to 5,798.48, 8,655.76 and 5,097.86 is: 7,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.48 : 8,655.76 = 5,097.86 : x
  2. Step 2: Convert to fraction form
    5,798.48/8,655.76 = 5,097.86/x
  3. Step 3: Cross multiply
    5,798.48x = 8,655.76 × 5,097.86
  4. Step 4: Simplify right side
    5,798.48x = 44,125,852.67
  5. Step 5: Solve for x
    x = 44,125,852.67/5,798.48
  6. Step 6: Final answer
    x = 7,609.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.