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Finding the Fourth Proportional to 5,312.69, 7,953.63 and 4,749.87

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Solution

The fourth proportional to 5,312.69, 7,953.63 and 4,749.87 is: 7,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.69 : 7,953.63 = 4,749.87 : x
  2. Step 2: Convert to fraction form
    5,312.69/7,953.63 = 4,749.87/x
  3. Step 3: Cross multiply
    5,312.69x = 7,953.63 × 4,749.87
  4. Step 4: Simplify right side
    5,312.69x = 37,778,708.53
  5. Step 5: Solve for x
    x = 37,778,708.53/5,312.69
  6. Step 6: Final answer
    x = 7,111.04

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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.