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Finding the Fourth Proportional to 5,405.04, 7,455 and 3,415.92

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Solution

The fourth proportional to 5,405.04, 7,455 and 3,415.92 is: 4,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.04 : 7,455 = 3,415.92 : x
  2. Step 2: Convert to fraction form
    5,405.04/7,455 = 3,415.92/x
  3. Step 3: Cross multiply
    5,405.04x = 7,455 × 3,415.92
  4. Step 4: Simplify right side
    5,405.04x = 25,465,683.60
  5. Step 5: Solve for x
    x = 25,465,683.60/5,405.04
  6. Step 6: Final answer
    x = 4,711.47

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1.5x scale

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.