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Finding the Fourth Proportional to 3,830.58, 5,284.28 and 2,570.01

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Solution

The fourth proportional to 3,830.58, 5,284.28 and 2,570.01 is: 3,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.58 : 5,284.28 = 2,570.01 : x
  2. Step 2: Convert to fraction form
    3,830.58/5,284.28 = 2,570.01/x
  3. Step 3: Cross multiply
    3,830.58x = 5,284.28 × 2,570.01
  4. Step 4: Simplify right side
    3,830.58x = 13,580,639.59
  5. Step 5: Solve for x
    x = 13,580,639.59/3,830.58
  6. Step 6: Final answer
    x = 3,545.32

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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.