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Finding the Fourth Proportional to 6,415.04, 8,852.56 and 3,762.40

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Solution

The fourth proportional to 6,415.04, 8,852.56 and 3,762.40 is: 5,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.04 : 8,852.56 = 3,762.40 : x
  2. Step 2: Convert to fraction form
    6,415.04/8,852.56 = 3,762.40/x
  3. Step 3: Cross multiply
    6,415.04x = 8,852.56 × 3,762.40
  4. Step 4: Simplify right side
    6,415.04x = 33,306,871.74
  5. Step 5: Solve for x
    x = 33,306,871.74/6,415.04
  6. Step 6: Final answer
    x = 5,192.00

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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.