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Finding the Fourth Proportional to 4,973.75, 6,864.44 and 3,210.48

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Solution

The fourth proportional to 4,973.75, 6,864.44 and 3,210.48 is: 4,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.75 : 6,864.44 = 3,210.48 : x
  2. Step 2: Convert to fraction form
    4,973.75/6,864.44 = 3,210.48/x
  3. Step 3: Cross multiply
    4,973.75x = 6,864.44 × 3,210.48
  4. Step 4: Simplify right side
    4,973.75x = 22,038,131.28
  5. Step 5: Solve for x
    x = 22,038,131.28/4,973.75
  6. Step 6: Final answer
    x = 4,430.89

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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.