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Finding the Fourth Proportional to 5,242.68, 7,854.30 and 4,659.48

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Solution

The fourth proportional to 5,242.68, 7,854.30 and 4,659.48 is: 6,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.68 : 7,854.30 = 4,659.48 : x
  2. Step 2: Convert to fraction form
    5,242.68/7,854.30 = 4,659.48/x
  3. Step 3: Cross multiply
    5,242.68x = 7,854.30 × 4,659.48
  4. Step 4: Simplify right side
    5,242.68x = 36,596,953.76
  5. Step 5: Solve for x
    x = 36,596,953.76/5,242.68
  6. Step 6: Final answer
    x = 6,980.58

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1.5x scale

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.