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Finding the Fourth Proportional to 6,594.76, 9,100.40 and 3,610

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Solution

The fourth proportional to 6,594.76, 9,100.40 and 3,610 is: 4,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.76 : 9,100.40 = 3,610 : x
  2. Step 2: Convert to fraction form
    6,594.76/9,100.40 = 3,610/x
  3. Step 3: Cross multiply
    6,594.76x = 9,100.40 × 3,610
  4. Step 4: Simplify right side
    6,594.76x = 32,852,444
  5. Step 5: Solve for x
    x = 32,852,444/6,594.76
  6. Step 6: Final answer
    x = 4,981.60

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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.