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Finding the Fourth Proportional to 4,130.69, 5,700.93 and 2,363

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Solution

The fourth proportional to 4,130.69, 5,700.93 and 2,363 is: 3,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.69 : 5,700.93 = 2,363 : x
  2. Step 2: Convert to fraction form
    4,130.69/5,700.93 = 2,363/x
  3. Step 3: Cross multiply
    4,130.69x = 5,700.93 × 2,363
  4. Step 4: Simplify right side
    4,130.69x = 13,471,297.59
  5. Step 5: Solve for x
    x = 13,471,297.59/4,130.69
  6. Step 6: Final answer
    x = 3,261.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.