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Finding the Fourth Proportional to 4,567.16, 6,852.18 and 1,971.32

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Solution

The fourth proportional to 4,567.16, 6,852.18 and 1,971.32 is: 2,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.16 : 6,852.18 = 1,971.32 : x
  2. Step 2: Convert to fraction form
    4,567.16/6,852.18 = 1,971.32/x
  3. Step 3: Cross multiply
    4,567.16x = 6,852.18 × 1,971.32
  4. Step 4: Simplify right side
    4,567.16x = 13,507,839.48
  5. Step 5: Solve for x
    x = 13,507,839.48/4,567.16
  6. Step 6: Final answer
    x = 2,957.60

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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.