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Finding the Fourth Proportional to 4,838.40, 7,300.80 and 4,384.80

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Solution

The fourth proportional to 4,838.40, 7,300.80 and 4,384.80 is: 6,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.40 : 7,300.80 = 4,384.80 : x
  2. Step 2: Convert to fraction form
    4,838.40/7,300.80 = 4,384.80/x
  3. Step 3: Cross multiply
    4,838.40x = 7,300.80 × 4,384.80
  4. Step 4: Simplify right side
    4,838.40x = 32,012,547.84
  5. Step 5: Solve for x
    x = 32,012,547.84/4,838.40
  6. Step 6: Final answer
    x = 6,616.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.