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Finding the Fourth Proportional to 4,977.32, 7,465.93 and 1,514.57

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Solution

The fourth proportional to 4,977.32, 7,465.93 and 1,514.57 is: 2,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.32 : 7,465.93 = 1,514.57 : x
  2. Step 2: Convert to fraction form
    4,977.32/7,465.93 = 1,514.57/x
  3. Step 3: Cross multiply
    4,977.32x = 7,465.93 × 1,514.57
  4. Step 4: Simplify right side
    4,977.32x = 11,307,632.48
  5. Step 5: Solve for x
    x = 11,307,632.48/4,977.32
  6. Step 6: Final answer
    x = 2,271.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.