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Finding the Fourth Proportional to 4,702.12, 7,054.62 and 3,148.36

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Solution

The fourth proportional to 4,702.12, 7,054.62 and 3,148.36 is: 4,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.12 : 7,054.62 = 3,148.36 : x
  2. Step 2: Convert to fraction form
    4,702.12/7,054.62 = 3,148.36/x
  3. Step 3: Cross multiply
    4,702.12x = 7,054.62 × 3,148.36
  4. Step 4: Simplify right side
    4,702.12x = 22,210,483.42
  5. Step 5: Solve for x
    x = 22,210,483.42/4,702.12
  6. Step 6: Final answer
    x = 4,723.50

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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.