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Finding the Fourth Proportional to 5,070.84, 7,604.21 and 1,783.15

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Solution

The fourth proportional to 5,070.84, 7,604.21 and 1,783.15 is: 2,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.84 : 7,604.21 = 1,783.15 : x
  2. Step 2: Convert to fraction form
    5,070.84/7,604.21 = 1,783.15/x
  3. Step 3: Cross multiply
    5,070.84x = 7,604.21 × 1,783.15
  4. Step 4: Simplify right side
    5,070.84x = 13,559,432.51
  5. Step 5: Solve for x
    x = 13,559,432.51/5,070.84
  6. Step 6: Final answer
    x = 2,674.00

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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.