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Finding the Fourth Proportional to 4,762.15, 6,570.98 and 2,992.50

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Solution

The fourth proportional to 4,762.15, 6,570.98 and 2,992.50 is: 4,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.15 : 6,570.98 = 2,992.50 : x
  2. Step 2: Convert to fraction form
    4,762.15/6,570.98 = 2,992.50/x
  3. Step 3: Cross multiply
    4,762.15x = 6,570.98 × 2,992.50
  4. Step 4: Simplify right side
    4,762.15x = 19,663,665.13
  5. Step 5: Solve for x
    x = 19,663,665.13/4,762.15
  6. Step 6: Final answer
    x = 4,129.16

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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.