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Finding the Fourth Proportional to 3,870.07, 5,802.32 and 3,130.58

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Solution

The fourth proportional to 3,870.07, 5,802.32 and 3,130.58 is: 4,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.07 : 5,802.32 = 3,130.58 : x
  2. Step 2: Convert to fraction form
    3,870.07/5,802.32 = 3,130.58/x
  3. Step 3: Cross multiply
    3,870.07x = 5,802.32 × 3,130.58
  4. Step 4: Simplify right side
    3,870.07x = 18,164,649.28
  5. Step 5: Solve for x
    x = 18,164,649.28/3,870.07
  6. Step 6: Final answer
    x = 4,693.63

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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.