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Finding the Fourth Proportional to 3,316.04, 4,973.52 and 1,007

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Solution

The fourth proportional to 3,316.04, 4,973.52 and 1,007 is: 1,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.04 : 4,973.52 = 1,007 : x
  2. Step 2: Convert to fraction form
    3,316.04/4,973.52 = 1,007/x
  3. Step 3: Cross multiply
    3,316.04x = 4,973.52 × 1,007
  4. Step 4: Simplify right side
    3,316.04x = 5,008,334.64
  5. Step 5: Solve for x
    x = 5,008,334.64/3,316.04
  6. Step 6: Final answer
    x = 1,510.34

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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.